Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adj. Not decreasing.
Etymologies
from Wiktionary, Creative Commons Attribution/ShareAlike License
Examples

Even in highdimensional space, where there exists a curve which is nondecreasing with respect to absolute fitness for the population to follow, feedback loops will cause its evolutionary trajectory to diverge from that curve to some degree, lowering its fitness from what it would be otherwise.

You seem to misunderstand the second law of thermodynamics, which merely states that entropy is nondecreasing.

Nature allows for local decreases in entropy, but on average for a closed system, it is nondecreasing.

To the contrary, it would seem that the nondecreasing entropy would only be prone to add more chaotic evolutions to the mix, which would run counter to your claim.

While it is true that the second law can be viewed as a principle of equilibrium (Entropy has a maximum under a uniform source distribution, so nondecreasing entropy cannot exceed this bound of statistical homogeneity), this is not ordered but an euilibrium of a random system (still random).

First of all, the second law of thermodynamics can be stated as "In a closed system, entropy is nondecreasing."

Technically, it can stay level, too thus, it’s either “nondecreasing” or “nonincreasing”.
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